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Finding the Fourth Proportional to 142,702.52, 213,937.02 and 53,905.64

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Solution

The fourth proportional to 142,702.52, 213,937.02 and 53,905.64 is: 80,814.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,702.52 : 213,937.02 = 53,905.64 : x
  2. Step 2: Convert to fraction form
    142,702.52/213,937.02 = 53,905.64/x
  3. Step 3: Cross multiply
    142,702.52x = 213,937.02 × 53,905.64
  4. Step 4: Simplify right side
    142,702.52x = 11,532,411,982.79
  5. Step 5: Solve for x
    x = 11,532,411,982.79/142,702.52
  6. Step 6: Final answer
    x = 80,814.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.